Algebra and Applications Test 2

Question : 12 of 40

Marks: +1, -0

Assertion (A): The system of the equations

2p + 4q + 1 = 0

4p + 8q + 3 = 0

has no solution
Reason (R): The system of equations

a_1p + b_1q + c_1 = 0

a_2p + a_2q + c_2 = 0

has no solution, if

-a_1/a_2=b_1/b_2

Solution:

In the given system of equations,

2p + 4q + 1 = 0

and

4p + 8q + 3 = 0

-2/4=4/8=-1/2≠1/2

∴ System of equations has no solution A is true but R is false.

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